Name
Abstract | ||
|---|---|---|
It can be conjectured that the colored Jones function of a knot can be computed in terms of counting paths on the graph of a planar projection of a knot. On the combinatorial level, the colored Jones function can be replaced by its weight system. We give two curious formulas for the weight system of a colored Jones function: one in terms of the permanent of a matrix associated to a chord diagram, and another in terms of counting paths of intersecting chords. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s00493-005-0041-3 | Combinatorica |
Keywords | Field | DocType |
curious formula,weight systems,planar projection,random walks,weight system,combinatorial level,jones function,colored jones function,random walks.,intersecting chord,permanents,chord diagram,57N10,57M25 | Discrete mathematics,Combinatorics,Planar projection,Colored,Matrix (mathematics),Random walk,Jones polynomial,Diagram,Knot (unit),Mathematics,Quantum invariant | Journal |
Volume | Issue | ISSN |
25 | 6 | 0209-9683 |
Citations | PageRank | References |
1 | 0.36 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Stavros Garoufalidis | 1 | 12 | 5.07 |
| Martin Loebl | 2 | 152 | 28.66 |